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gyration

Gyration is the act or process of spinning, circling, or sweeping around an axis or point. It describes a rapid, circular or spiral motion and, in technical contexts, refers to angular motion about a defined axis and the resulting distribution of mass, velocity, or momentum.

In physics and engineering, gyration refers to rotation about an axis or a fixed center. Objects may

In polymer science, the radius of gyration R_g measures the size of a molecule’s coil in a

In mathematics, gyration denotes a map that accounts for non-associative or hyperbolic behavior in certain algebraic

Etymology: from gyrate, Latin gyrare, to turn or whirl. The term is also used loosely to describe

undergo
gyration
as
part
of
general
rotation,
or
exhibit
precession
and
wobble.
The
radius
of
gyration
is
a
derived
quantity
that
describes
how
a
body’s
mass
is
distributed
with
respect
to
an
axis;
for
a
rigid
body,
it
is
related
to
the
moment
of
inertia
I
by
R_g
=
sqrt(I/m),
where
m
is
the
mass.
This
concept
is
used
in
the
design
of
rotating
machinery
such
as
flywheels
and
rotors
and
in
analyses
of
structural
stability.
solvent.
It
is
the
root-mean-square
distance
of
the
molecule’s
segments
from
its
center
of
mass
and
is
inferred
from
scattering
experiments.
R_g
helps
compare
conformations
of
polymers
and
the
influence
of
solvent
quality.
systems,
especially
in
gyrogroup
theory
and
the
description
of
Einstein
addition
in
special
relativity.
any
rapid
circular
motion
and
should
not
be
confused
with
gyrator,
an
electronic
component
that
relates
current
and
voltage.